Question 1 1 a. Suppose y = f(x) = 14 log(I). Not yet saved Find f'(x) and f" (x) using the product rule, and find all local minima and maxima of f. Marked out of 3.00 OThere is a minimum at (e , -]) and another turning point at I = 0 whose type is undefined. Flag question OThere is no local minimum and (e , -1 ) is a local maximum. OThere is a maximum at (e , -) and another turning point at c = 0 whose type is undefined. OThe local minima and maxima are undefined for this function. O(e-i, -1) is a local minimum and there is no local maximum. ONone of these. b. Suppose y = f(x) = e-". Calculate f' (x) by the chain rule, and f" (x) by the product rule and the chain rule. Note that 0 oo, local maximum at (0, 1) Olocal minimum at (0, 1), no local maximum ONo local minimum, local maximum at (0, 1) Olocal minimum as I - -co, no local maximum c. Suppose y = f(x) = e-"". Calculate f' (x) by the chain rule, and f" (x) by the product rule and the chain rule. Note that 0 -oo, no local maximum Ono local minimum or local maximum